Marvin is painting three squares shaped like the one below if it takes him exactly 4 cans of paint to paint square 3 five cans of paint to paint square to how many cans of paint should he need to paint square one

Answer:

0=x²+12x−69 Subtract x² from both sides. −x²=12x−69 Subtract 12x from both sides. −x²−12x=−69 Divide both sides by -1. x²+12x=69 Add (12/2)^2=36 to both sides to complete the square.

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The required function completing the square is ( x + 6 )² = 105.

To rewrite the function by completing the square f(x) = x² + 12x - 69​.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Function f(x) = x² + 12x - 69​
In order to find the perfect square of the function.
f(x) = 0
x² + 12x - 69​ = 0
Half the coefficient of x  
coefficient of x = 12
=12/2= 6
Add and subtract the square of it in the equation
6² = 36
x² + 12x - 69​ +36 -36 = 0
Rearrange,
x² + 12x +36 =69+36
x² + 6x + 6x +36 =105
x( x + 6 ) + 6 ( x + 6) =105
(x+6)(x+6) = 105
(x+6)² = 105

Thus, The required function completing the square is ( x + 6 )² = 105.

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Answer:

88

Step-by-step explanation:

Answer:

8.5 cm

Step-by-step explanation:

pi(diameter)=circumfrence

3.14(diameter)=53.38

diameter=17

radius=8.5

Answer:

2. BD=14m BC=10, CD=4

3. x=43

4. x=14

Step-by-step explanation:

2. The segment BD should be equal to 14, as then problem would be impossible. Then,

BD=14

BC=10 (given)

CD=14-BC=14-10=4

3. Angle CBD is equal to angle DBA, because BD bisects the angle CBA.

So, if we substitute the measures of the angles,

55 =x+12

55-12=x

x=43 degrees

4. Angle QRT+angle TRS=180 degrees because they are both on a straight line, which equals 180 degrees.

So, if we substitute with the measures of the angles,

3x+5+10x-7=180 degrees

13x-2=180

x= 14

Answer:

£142 for 3 jumpers and 8 T-shirts

Step-by-step explanation:

Since the T-shirts cost £3.50 each and they are buy one get one free, when you buy 8 T-shirts you only pay for 4 of them.

£3.50(4) = £140 for the 8 T-shirts

Since you bought 3 jumpers with a buy 3 for £2 sale, the 3 jumpers cost £2.

Add the amount of money all together to find the total cost of the T-shirts and jumpers.

£140 + £2 = £142

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Answer:

1209.06 cubic feet

Step-by-step explanation:

use the formula for the volume of a cylinder and the volume of a rectangular prism, and then plug the values into that

The volume of the composite figure consisting of a cylinder and a rectangular prisms to the nearest tenth is 1209.1ft³.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.1415 )

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The volume of a rectangular prism is expressed as;

V = w × h × l

Where w is width, l is length and h is the height

From the diagram, the figure consist of a cylinder and a rectangular prism.

For the cylinder;

For the rectangular prism;

Volume of the cylinder.

V_c = π × r² × h

V_c = 3.1415 × (4ft)² × 4ft

V_c = 3.1415 × 16ft² × 4ft

V_c = 201.1ft³

Volume of the rectangular prism.

V_r = w × h × l

V_r = 14ft × 6ft × 12ft

V_r = 1008ft³

Now, the volume of the composite figure will be;

V = V_c + V_r

V = 201.1ft³ + 1008ft³

V = 1209.1ft³

Therefore, the volume of the composite figure consisting of a cylinder and a rectangular prisms to the nearest tenth is 1209.1ft³.

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Answer:

distributive property

Step-by-step explanation:

You are distributing the 8 amongst the numbers inside the parenthesis.

Answer:

The property that is used to solve the problem is, Distributive Property

Step-by-step explanation:

you have to distribute the 8.

Answer:

x=10

Step-by-step explanation:

sorry i didnt mean to leave the other one as a comment! but yes x=10

So the right answer is 115 degree.

Look at the attached picture

Hope it will help you..

Good luck on your assignment

Answer:

Step-by-step explanation:

First of all, it is convenient to choose the false statement.

We note that statements 7 (Alan is first) and 10 (Alan did not finish) are contradictory, so one of them must be false. Statement 5 has Henry & Hughes together, so is not consistent with statement 7 (Alan & Hughes). So, statement 7 is inconsistent with two other statements, thus must be the false one.

__

The attached table shows how we parsed the statements. An "O" signifies a combination that must occur; and "X" signifies one that cannot occur. We have used "-" to fill the spaces that are inconsistent with the locations of "O". The red letters are deduced from the others.

The first complete set we found was Henry & Hughes (Don & Gladstone) who were in the (red) capsized raft and did not finish. The second complete set we found was Phil & Cook (Frank & Hawley) who were in the (yellow) raft that finished second. We know Paul & Wilson (Alan & Partner) finished last, so Phil & Cook could not have been Paul and Wilson. Finally, O'Brien and Leroy were not on the same boat, so Paul must be Paul O'Brien and Leroy must be Leroy Sands.

Answer:

A

Step-by-step explanation:

Let's set hours as h.

We know that she earns 5 dollars an hour. If, for example, she worked 2 hours, she would have earned 2*5=10 dollars. This is 5h.

Next, we know that she got 186 dollars in tips. Tips means that she earned extra money, so therefore, the equation is 5h+186, or A

Answer:

6.5

Step-by-step explanation:

x/6.5 = 4

x/6.5 (6.5) = 4 (6.5)

the /6.5 and *6.5 cancel out

x = 26

Answer:

one interior angle + one exterior angle = 180 degrees

Step-by-step explanation:

This is because the two angle form a straight line, which equal to 180 degrees.

Answer: x= 40

Step-by-step explanation:

x + 4x -20=180

5x -20=180

    +20   +20

5x= 200

x= 40

Answer:

A) x=32

Step-by-step explanation:

To work out the value of x you would first need to minus 20° from 180°, this gives you 160°. This is because the total angle in a straight line is 180° and that by subtracting 20 from 180 you are isolating the value of the x's.

The next step is to add up the number of x's in that angle. You can do this by adding the values of 4 and 1, this gives you 5.

The final step is to divide the angle 160 by the total number of x's of 5, this gives you 32°. This si because we had previously isolated the value of the 5x and so by dividing it by 5 so we would work out the value of x.

1) Minus 20 from 180.

[tex]180-20=160[/tex]

2) Add 4 and 1.

[tex]4+1=5[/tex]

3) Divide 160 by 5.

[tex]160/5=32[/tex]

Answer: 3 b^2+2b-8

Step-by-step explanation:

That is it simplified if it is not what you need just ask.

Answer:

Step-by-step explanation:

Answer:

D i think

Step-by-step explanation:

Answer

D. -(-300/5 meters per hour

Step-by-step explanation:

I took the quiz, and I got it right on time4learning 2022 I hope I helped and more importantly I hope you pass byee!!!

Answer:

I believe its $66.04. If it asked for the total, then it would have been 66.04 + 508, which it did not ask. So try $66.04.

Step-by-step explanation:

508 is the actual price and 13% of 508 is 66.04.

Answer:

$66.04

Step-by-step explanation:

This is an example of a percentage of an amount.

The formula for the percentage of an amount is : [tex]\frac{Percentage}{100} *amount[/tex]

To work this out you would first need to convert the percentage of 13% into a decimal. You can do this by dividing the percentage of 13 by 100, this gives you 0.13. This is because percentages are out of 100.

To work out the price of shipping and handling you would need to multiply the amount of $508 by the decimal of 0.13, this gives you $66.04. This is because we are working out 13% of $508.

1) Divide 13 by 100.

[tex]13/100=0.13[/tex]

2) Multiply 0.13 by 508.

[tex]0.13*508=66.04[/tex]

Answer:

45 degrees

Step-by-step explanation:

the right angle is 90 degrees and one angle is 45 degrees and 90+45=135 and 180-135=45 so 45 degrees is the missing angle

Answer:

The chair travels approximately 4,394.924 feet.

Step-by-step explanation:

We need to use trigonometric functions to solve this problem. You are given the opposite side of an angle and asked to find the hypotenuse. This means you must use sine, because sine is the ratio between opposite and hypotenuse.

Set up the equation as so:

sin(21) = 1575/x

(x being the hypotenuse). Solve for x by multiplying both sides by x and then dividing both sides by sin(21). Solve 1575/(sin(21)), and you get 4,394.924273, or 4,394.92

Answer:

its 8.5

Step-by-step explanation:

Answer:

We need 8 ounces of solution A and 32 ounces of solution B.

Step-by-step explanation:

We are given that a scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt.

She knows that Solution A is  40%  salt and Solution B is 65%  salt.

                       A + B = 40

                        B = 40 - A  ------------ [Equation 1]

                        [tex]0.4 \text{A}+0.65 \text{B}=0.60 \times 40[/tex]

                        [tex]0.4 \text{A}+0.65 \text{B}=24[/tex]

                        [tex]0.4 \text{A}+0.65 (40- \text{A})=24[/tex]     {from equation 1}

                        [tex]0.4 \text{A}+26- \text{0.65A}=24[/tex]

                        [tex]\text{0.65A} - 0.4 \text{A}=26-24[/tex]

                                  [tex]\text{0.25A} =2[/tex]  

                                    A  =  [tex]\frac{2}{0.25}[/tex] = 8 ounces

Now, putting value of A in equation 1, we get;

                           B = 40 - A

                           B = 40 - 8 = 32 ounces

Hence, we need 8 ounces of solution A and 32 ounces of solution B.

Answer:

8 oz.

Step-by-step explanation:

One pound is 16oz and ½ of that is 8oz

Answer:

i have no idea

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

Answer:

The equation is an exponential growth equation.

$228,000 represents the initial cost of a real estate that appreciates 3% per year over the course of years.

Step-by-step explanation:

the correct equation is: V(C)=228,000(1.03)^t

Hi, to answer this question we have to apply an exponential growth equation:  

A = P (1 + r) t  

Where:  

p = initial cost

r = growing rate (decimal form)  

t= years  

A =cost after t years  

Before applying the formula:

1.03 = 1+r

1.03-1 =r

0.03=r

Replacing with the values given:  

A = 228,000 (1+ 0.03)^t

r = 0.03

Since r  is in decimal form, we have to multiply it by 100  

0.03 x 100 = 3% appreciation per year

Feel free to ask for more if needed or if you did not understand something.  

Answer:

m = x^6

Step-by-step explanation:

4x^12 – 5x^6 – 14 = 0

Let m = x^6

4m^2 - 5m - 14 = 0

Answer:

2 cans to cover the room but she will have a lot of paint left over

Step-by-step explanation:

12*18=216

the area of her room is 216 square ft.

216*2=432

she will need 2 cans

Answer:

Lyana will need 4 cans of paint to paint her whole room or only 3 if she doesn't paint the floor.

Step-by-step explanation:

Firstly we need to know how much paint she will need to use.

The area of her room is given by 2(ac+bc), where a is the length, b is the width and c is the height.

Applying that we get that the area of her room is 2*12*18+2*18*8=720.

This applies if we assume that she also paints the floor. If she doesn't we need to subtract the area of the floor which is 12*18=216. So 720-216=504

She will paint her room twice she the amount of paint she needs is twice the area:

720*2=1440

or if she does not paint the floor

504*2=1008

Now we answer how many cans is that by dividing by 400 and rounding up.

1440/400=3.6 she needs, therefore, 4 cans

1008/400=2.52 she needs 3 cans

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x<4

The solution to the given inequality 3x - 3 < 9 is;

x < 4

We are given the inequality;

3x - 3 < 9

Using addition property of equality, add 3 to both sides to get;

3x - 3 + 3 < 9 + 3

3x < 12

Using division property of equality, divide both sides by 3 to get;

3x/3 < 12/3

x < 4

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